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Finding the Third Proportional to 300,141,922 and 650,378,592

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Solution

The third proportional to 300,141,922 and 650,378,592 is: 1,409,307,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,141,922 : 650,378,592 = 650,378,592 : x
  2. Step 2: Convert to fraction form
    300,141,922/650,378,592 = 650,378,592/x
  3. Step 3: Cross multiply
    300,141,922x = 650,378,592 × 650,378,592
  4. Step 4: Simplify right side
    300,141,922x = 422,992,312,931,902,464
  5. Step 5: Solve for x
    x = 422,992,312,931,902,464/300,141,922
  6. Step 6: Final answer
    x = 1,409,307,670.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.